Piecewise Linear Interpolation and Spline Interpolation

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Covers the formulation of isoparametric elements and integration techniques in the finite element method, with a focus on Gauss integration.

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Covers digital integration, interpolation polynomials, and integration formulas with error analysis.

Covers the integration of limit expansions and continuous functions by pieces.

Explores barycentric coordinates, interpolation, and basis functions in the context of linear systems.

Explores embedding in function spaces, including elliptic equations, Hölder inequality, Lorentz space, and Hardy-Young inequality.

Covers the Finite Volume Method for numerical flow simulation, including conservation equations, discretization methods, and boundary conditions.

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